Introduction to Continuum Mechanics

Sudhakar Nair

doi:10.1017/CBO9780511841576

This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses. This unified approach can be appreciated by engineers, physicists, and applied mathematicians with some background in engineering mechanics. It has many examples and about 150 exercises for students to practise. The higher mathematics needed for a complete understanding is provided in the early chapters. This subject is essential for engineers involved in experimental or numerical modelling of material behaviour.

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Introduction to Continuum Mechanics

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Contents

Frontmatter
pp i-iv

Contents
pp v-x

Preface
pp xi-xii

Introduction to Continuum Mechanics
pp xiii-xiv

1 - Introduction
pp 1-3

2 - Cartesian Tensors
pp 4-26

3 - General Tensors
pp 27-41

4 - Integral Theorems
pp 42-48

5 - Deformation
pp 49-75

6 - Motion
pp 76-89

7 - Fundamental Laws of Mechanics
pp 90-97

8 - Stress Tensor
pp 98-113

9 - Energy and Entropy Constraints
pp 114-128

10 - Constitutive Relations
pp 129-141

11 - Hyperelastic Materials
pp 142-163

12 - Fluid Dynamics
pp 164-183

13 - Viscoelasticity
pp 184-199

14 - Plasticity
pp 200-228

Author Index
pp 229-230

Subject Index
pp 231-237

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Introduction to Continuum Mechanics

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